Q: What are the factor combinations of the number 11,001,155?

 A:
Positive:   1 x 110011555 x 220023111 x 100010555 x 200021139 x 79145695 x 158291439 x 76451529 x 7195
Negative: -1 x -11001155-5 x -2200231-11 x -1000105-55 x -200021-139 x -79145-695 x -15829-1439 x -7645-1529 x -7195


How do I find the factor combinations of the number 11,001,155?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 11,001,155, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 11,001,155
-1 -11,001,155

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 11,001,155.

Example:
1 x 11,001,155 = 11,001,155
and
-1 x -11,001,155 = 11,001,155
Notice both answers equal 11,001,155

With that explanation out of the way, let's continue. Next, we take the number 11,001,155 and divide it by 2:

11,001,155 ÷ 2 = 5,500,577.5

If the quotient is a whole number, then 2 and 5,500,577.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 11,001,155
-1 -11,001,155

Now, we try dividing 11,001,155 by 3:

11,001,155 ÷ 3 = 3,667,051.6667

If the quotient is a whole number, then 3 and 3,667,051.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 11,001,155
-1 -11,001,155

Let's try dividing by 4:

11,001,155 ÷ 4 = 2,750,288.75

If the quotient is a whole number, then 4 and 2,750,288.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 11,001,155
-1 11,001,155
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1511551396951,4391,5297,1957,64515,82979,145200,0211,000,1052,200,23111,001,155
-1-5-11-55-139-695-1,439-1,529-7,195-7,645-15,829-79,145-200,021-1,000,105-2,200,231-11,001,155

More Examples

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